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Finding the Fourth Proportional to 5,190.26, 7,785.19 and 1,492.48

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Solution

The fourth proportional to 5,190.26, 7,785.19 and 1,492.48 is: 2,238.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.26 : 7,785.19 = 1,492.48 : x
  2. Step 2: Convert to fraction form
    5,190.26/7,785.19 = 1,492.48/x
  3. Step 3: Cross multiply
    5,190.26x = 7,785.19 × 1,492.48
  4. Step 4: Simplify right side
    5,190.26x = 11,619,193.98
  5. Step 5: Solve for x
    x = 11,619,193.98/5,190.26
  6. Step 6: Final answer
    x = 2,238.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.